Detecting the integer decomposition property and Ehrhart unimodality in reflexive simplices

Author:

Braun Benjamin,Davis Robert,Solus Liam

Funder

National Security Agency

NSF Division of Mathematical Sciences

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference16 articles.

1. Computing the Continuous Discretely. Integer-Point Enumeration in Polyhedra;Beck,2015

2. Unimodality problems in Ehrhart theory;Braun,2016

3. Ehrhart series, unimodality, and integrally closed reflexive polytopes;Braun;Ann. Comb.,2016

4. Log-concave and unimodal sequences in algebra, combinatorics, and geometry: an update;Brenti,1994

5. h-vectors of Gorenstein polytopes;Bruns;J. Combin. Theory Ser. A,2007

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1. New Bounds for the Integer Carathéodory Rank;SIAM Journal on Optimization;2024-01-09

2. Decompositions of Ehrhart $$h^*$$-Polynomials for Rational Polytopes;Discrete & Computational Geometry;2022-01-07

3. Regular Unimodular Triangulations of Reflexive IDP 2-Supported Weighted Projective Space Simplices;Annals of Combinatorics;2021-09-28

4. Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials;Journal of Algebraic Combinatorics;2020-11-03

5. Laplacian simplices;Advances in Applied Mathematics;2020-03

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